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Simplifying (y2) + 3y + -5 = 175 y2 + 3y + -5 = 175 Reorder the terms: -5 + 3y + y2 = 175 Solving -5 + 3y + y2 = 175 Solving for variable 'y'. Reorder the terms: -5 + -175 + 3y + y2 = 175 + -175 Combine like terms: -5 + -175 = -180 -180 + 3y + y2 = 175 + -175 Combine like terms: 175 + -175 = 0 -180 + 3y + y2 = 0 Factor a trinomial. (-15 + -1y)(12 + -1y) = 0Subproblem 1
Set the factor '(-15 + -1y)' equal to zero and attempt to solve: Simplifying -15 + -1y = 0 Solving -15 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1y = 0 + 15 -1y = 0 + 15 Combine like terms: 0 + 15 = 15 -1y = 15 Divide each side by '-1'. y = -15 Simplifying y = -15Subproblem 2
Set the factor '(12 + -1y)' equal to zero and attempt to solve: Simplifying 12 + -1y = 0 Solving 12 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1y = 0 + -12 -1y = 0 + -12 Combine like terms: 0 + -12 = -12 -1y = -12 Divide each side by '-1'. y = 12 Simplifying y = 12Solution
y = {-15, 12}
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